What is the Least Common Multiple of 80295 and 80305?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 80295 and 80305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80295 and 80305, than apply into the LCM equation.

GCF(80295,80305) = 5
LCM(80295,80305) = ( 80295 × 80305) / 5
LCM(80295,80305) = 6448089975 / 5
LCM(80295,80305) = 1289617995

Least Common Multiple (LCM) of 80295 and 80305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80295 and 80305. First we will calculate the prime factors of 80295 and 80305.

Prime Factorization of 80295

Prime Factorization of 80305

Now multiplying the highest exponent prime factors to calculate the LCM of 80295 and 80305.

LCM(80295,80305) = 3¹ × 5¹ × 53¹ × 101¹ × 16061¹
LCM(80295,80305) = 1289617995